SOLUTION: Mario took a 17 day trip around the U.S. He visited Boston, Miami, Philadelphia and New York. In Boston he spent $200 per day, in Miami $225 per day, in Philadelphia $175 per day a

Question 1006485: Mario took a 17 day trip around the U.S. He visited Boston, Miami, Philadelphia and New York. In Boston he spent $200 per day, in Miami $225 per day, in Philadelphia $175 per day and in New York he spent $150 a day for a total of $3400. The number of days he spent in Miami was one less than the total number of days in the other three cities combined. The number of days in Philadelphia was twice the number of days in New York. How many days did Mario spend in each city?
Answer by Ani_g(8) (Show Source): You can put this solution on YOUR website!
B+P+N+M = 17 .....(1)
B+P+N-M=1 .....(2)
(1) + (2) => 2(B+P+N) = 18 OR, B+P+N = 9 .....(3)
P = 2N, Putting this in eq (3) => B+3N = 9 .....(4)
200B+175P+150N+225M = 3400 ....(4)
Since, B+P+N = 9 ....(3), hence using this in eq (1) => M = 17-9 = 8
Putting M=8 & P=2N in eq(4) => 200B+350N+150N+1800 = 3400 OR, 200B+500N=1600 OR, 2B+5N=16 ...(5)
eq(4)x2 => 2B+6N=18 ....(6)
(6)-(5)=> N=2 => P=4 => B=3

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